For the function fo-4+53+ 445, find the slope of the tangent ine at N 2

Q: Find the slope m of the tangent line to the curve - 4a? + 2xy + 2y = 68 at the point (- 3, 4). Give…

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Q: Given the function f(x)=x^3+9x^2+19x+4, determine all coordinate points (x,y) on the graph of f such…

A: Differentiate the given function and equate to -5 and find coordinate points.

Q: Find the x-coordinate on the graph of f (x) = x ³ – 12 x where the tangent is horizontal. A) 1,-1 B)…

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Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: Given that f(7) = 1 and f'(7) = -7, find an equation for the tangent line to the graph of y = f(x)…

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Q: For f(x)=x3+3x2 -9x+4  Find the values of x where the tangent line is horizontal and the equation…

A: Tangent is horizontal line when it's slope is zero.

Q: Given that the graph of f passes through the point (1, -2) and that the slope of its tangent line at…

A: The graph of the function fx passes through the point x0, fx0=1,-2 The slope of the the tangent line…

Q: For what value(s) of x does the graph of f(x) = 6x³ + 9x² – 216x %3D e a horizontal tangent?

A: To find the values of x does the graph of fx=6x3+9x2-216x have a horizontal tangent.

Q: For the function f (t) = 3t4 – t, the average rate of change in f from t = -1 to t = 3 is %3D…

A: The average rate of change of a function f  on the interval a,b is defined as fb-fab-a. Here,…

Q: Given the functionf(x)=(x-1)', find the slope of the line tangent to the graph of fat the point…

A: Given :

Q: For the function f(r) = - 2x – 5x, f(r + h)- f(r) evaluate and simplify: h Find the value of the…

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Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)…

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Q: For the function f(x) = 4x² + 2, the slope of the tangent line at x = 3 is a m = 32 b m = 4 m = 8 d…

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Q: Ex2.) Find the equation of the line tangent - 4x* +11x to f(x) = and parallel to the line y +4x =…

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Q: Given that the tangent line to the graph of f at the point (-1, 4) has the equation 3r-2y+11 0, find…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: The tangent line is horizontal when the slope is equal to 0

Q: For f(x)=1/4+x2​, the slope of the graph of y=f(x) is known to be − 2/25 at the point with​…

A: The function is f(x)=14+x2Slope is -225x-coordinate is 1

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

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Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Find the slope of the line tangent to the graph of f -1 at the specified point on the graph of f -1.

Q: For the function f(z) = 3x- 2x +2, f(r + h) - f(x) evaluate and simplify: 4: Find the value of the…

A: Here, f(x)=3x2-2x+2

Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

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Q: Find the x-corrdinates at which the tangent line to y=(x-(6/8))^8 is horizontal.

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A: The graph is itself a straight line with a slope of m = 3 compare with  y = mX + c ; to get the…

Q: The slope of the tangent line to the graph of the function y = 7/a – 4 at (16, 24) is -2.00 0.88…

A: Please refer the image.

Q: For the function, find the point(s) on the graph at which the tangent line has slope 2. 1 y=x²-3x²…

A: Given : The function y=13x3-3x2+7x+16 and the tangent line has the slope m=2.  To find : The points…

Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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Q: Find the slope of the tangent line to the graph of the function at the given p f(x) = -2x + 6 at…

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Q: For the function f(x) = 3x² + 2x + 1, evaluate and simplify: f(x+h)-f(x) h Find the value of the…

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Q: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

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Q: Given that f(−6)=−6 and f′(−6)=−6, find an equation for the tangent line to the graph of y=f(x) at…

A: We know that slope of tangent line to the graph of y=f(x) at x=a is f'(a) Therefore, slope of…

Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: Find the equation of the tangent to the graph of f(x) =(x²+28)*/5 at x =2. 4 64 A y= 3**5 8 64 y=x+5…

A: To find the tangent to the graph of f(x)=x2+2845 at x=2. Here, the equation of the tangent at x=2…

Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

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Q: Given that f(-8) = 2 and f '(-8)  = 3, find an equation for the tangent line to the graph of y =…

A: Given that f-8=2

Q: Find the slope of the tangent line to the graph of the given function f (x) = 4x³ at the point (2,…

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Q: For the function f(x)= 3x² +2x–1, Find the equation of the line tangent to the curve at x = -1 2.

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Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

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Q: For f(æ) = Væ+ 3, find ƒ '(æ) using the definition f'(x) = ļim f(z+h)-f(z)_ f '(x) =| Using this,…

A: Given:f(x)=x+3

Q: Given that the graph of f passes through the point (1, -2) and that the slope of its tangent line at…

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Q: Find the function f given that the slope of the tangent line to the graph at any point (x, f(x)) is…

A: f'x=lnxx

Q: find an equation of the tangent line at the point indicated. s(t) = 39t , t = 2

A: Consider s(t) = 39t  Find s(2)

Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

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Q: ) Given that f(8) = 5 and f'(8) = 7 , find an equation for the tangent line to the graph of y = f(x)…

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Q: Write the equation of the line tangent to f(x)=\x at x=4 and from that line approximate V3.98 a)…

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Q: . Given the relation x2 – xy + y3 = 11, determine the slope of the line tangent to the curve at…

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Q: please help

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Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

A: To locate the points on the graph where the tangent is parallel to the x -axis

Q: Consider the following function h(x) = -3r- 5x + 20a+ 60z. (a) point where the tangent line of h(x)…

A: Given function is hx=-3x5-5x4+20x3+60x

Q: Given that the tangent line to the graph of f at the point (-1, 4) has the equation 3r-2y+11 = 0,…

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Q: For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

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